are y=2x+6 and 6t=2x+9 perpendicular

Answers

Answer 1

Answer:

Therefore,

[tex]y=2x+6[/tex] and

[tex]6y=2x+9[/tex] are not Perpendicular.

Step-by-step explanation:

Given:

[tex]y=2x+6[/tex]         ............................Equation of line( 1 )

[tex]6y=2x+9\\y=\dfrac{1}{3}+\dfrac{3}{2}[/tex]     ............................Equation of line( 2 )

Solution:

So the Equations are written in

[tex]y=mx+b[/tex]

Where m is the slope of the line

On Comparing we get

[tex]Slope = m1 = 2[/tex]

[tex]Slope = m2 = \dfrac{1}{3}[/tex]

So for the lines to be Perpendicular.

Product of slopes = - 1

m1 × m2 = -1

So Product of slopes of the given lines are

[tex]m1\times m2=2\times \dfrac{1}{3}=\dfrac{2}{3}[/tex]

Which is not equal to -1

Therefore,

[tex]y=2x+6[/tex] and

[tex]6y=2x+9[/tex] are not Perpendicular.


Related Questions

What type of triangle can a right triangle be?

Answers

Answer:

it could be a isosceles triangle.

Step-by-step explanation:

A right triangle can also be an isosceles triangle.

Final answer:

A right triangle, which always has a 90-degree angle, can be either Scalene if all sides are different lengths, or Isosceles if two sides are equal. The classification depends on the lengths of the sides. Additionally, right triangles are fundamental to the application of the Pythagorean theorem.

Explanation:

A right triangle is a type of triangle that has one angle measuring exactly 90 degrees. Despite always having this right angle, right triangles can vary in the lengths of their other sides and the measures of their other angles. So, a right triangle can also be classified based on its side lengths:

If all three sides of a right triangle have different lengths, it is a Scalene right triangle.If two sides of a right triangle (the legs) are of equal length, it is known as an Isosceles right triangle, and this also implies that the two non-right angles are equal, each being 45 degrees.

Therefore, the type of right triangle depends on the specific side lengths and can be either Scalene or Isosceles. The understanding of right triangles also extends to concepts such as the Pythagorean theorem, which relates the lengths of the sides of a right triangle, stating that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Giving brainliest for the correct answer!!!! As long as you explain!

Answers

Answer: 5 is the radius because it is half of 10 in the circle

Step-by-step explanation:

Answer:

Circumference is 31.4.

Area is 78.4^2.

Step-by-step explanation:

Circumference = pi times diameter.

3.14 times 10 is 31.4.

Area = 1/4 pi diameter squared.

10^2 = 100

100 times 3.14 = 314

314 times 1/4 is 78.5.

I hope this helps you!

Haley's age is 6 years less than half her mother's
age. If Haley is 16 years old, what is an equation
that can be used to determine her mother's age?​

Answers

Answer: (16+6)2=y

Step-by-step explanation: Hailey is six years younger than half her mother age, and she is 16. You add six to 16, and get 22. Multiply that by 2 and get 44.

Which pair of ratios is equal to sinP ? I’ll give you best brainliest

Answers

Answer:

B.

Step-by-step explanation:

The sine is opposite side / hypotenuse so

sin P  = ST / PS and QR / PQ.

Answer:

Option 2

Step-by-step explanation:

SinP=ST/PS

Or

SinP=QR/PQ

A distribution data has a maximum value of 96, a median value of 56.5, and a minimum of 23. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.

Answers

Answer:

 The standard deviation estimate by the Range Rule of Thumb = 18.3

Step-by-step explanation:

i) maximum = 96

ii) minimum = 23

iii) standard deviation [tex]\approx[/tex]  [tex]\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = \frac{96 - 23}{4} = \frac{73}{4} = 18.25[/tex]

 

   The standard deviation estimate by the Range Rule of Thumb = 18.3

if 48 men have ration for 16 days how long will the food last if a reinforcement of 16 men arrived​

Answers

Step-by-step explanation:This is a simple question.

The food that lasts for 48 men for 16 days is 48 × 16 = 768 units.

Now because of 16 additional members i.e. a total of 64 men the food will last for:

768÷64 = 12 days. Answer.

Final answer:

The ration that would have lasted for 16 days for 48 men will now last for 12 days when an additional 16 men are added to the group, making it a total of 64 men.

Explanation:

The question concerns a problem in ration proportion related to the consumption of food by a group of men. Initially, 48 men have enough rations for 16 days. If 16 more men join this group, the total number of men becomes 48 + 16 = 64 men. We need to calculate how long the rations will last for the increased group.

We can consider this as a problem of inverse proportion where more men would consume the same amount of food in lesser time. The original group of 48 men could last 16 days, so we can set up the following proportion: 48 men × 16 days = 64 men × X days. Solving for X gives us X = (48 men × 16 days) / 64 men, which simplifies to X = 12 days. Therefore, the food would last for 12 days for 64 men.

Which expression is equivalent to 5(8z)

Answers

Answer:

answer is 40z

Step-by-step explanation:

multiply the numbers and keep the variable the same

Most bees have a body temperature of 35* Celsius. When they sleep, it can drop by up to 2* celsius. What's their range in body temperature written as an inequality with the variable t?

Answers

33°≤ t ≤ 35°

Step-by-step explanation:

The body temperature of a bee is given as 35°

When it sleeps, it drops by 2°

The sleeping temperature is therefore : 35°-2°=33°

The rage of body temperature is : 33°-35°

If t is  body temperature then the rage in body temperature is;

33°≤ t ≤ 35°

Learn More

Inequalities :https://brainly.com/question/12837275

Keywords : body, temperature, sleep,drop,range, variable

#LearnwithBrainly

What is the name of a shape with its length, width, and height all equal?

Answers

Answer:

cube

Step-by-step explanation:

WILL MARK YOU ALPHA!!!
What is the value of x in the equation 0.6x = 0.4 − 0.2x?

0.5
1
1.5
3

Answers

Answer:

x=0.5

Step-by-step explanation:

6x=4-2x

8x=4

x=1/2

Answer:

0.5

Step-by-step explanation:

You solve it as a 2-step equation.

0.6x=0.4-0.2x

Isolate the variables ((add 0.2x to both sides since that it how you get rid of it at the right))

Your equation should now be

0.8x=0.4

Divide both sides by 0.8 in order to get x by itself

x=0.5

plz help im in 5th grade 20 times 2

Answers

40 is the answer buddy

Answer:

40

Step-by-step explanation:

20

x   2

0x2=0

2x2=4

you have to take the bottom 2 in the ones place

then you have to multiply that by 0

last you have to multiply both 2's

and you have your answer

Janelle ate 82% of the pie. What fraction of the pie remained

Answers

100 is the whole
100-86=18
18=9/50

Find the total surface area of the figure.


A. 150.7 ft sq.
B. 402.1 ft sq
C. 301.5 ft sq
D. 288.4 ft sq

Answers

Answer:

Answer is B

surface area for a cylinder : 2 (pi) r h + 2 (pi) r^2

r= 4

h= 12

2 (pi) x 4 x 12 + 2 (pi) × 4^2

= 402 .1

Answer:

it is B

Step-by-step explanation:

Is this equation an infinite solution, no solution, or one solution?? 36-7x=-7(x-5) is

Answers

Answer:

no solution

Step-by-step explanation:

36-7x=-7(x-5)

first what we have to do is do the multiplications

36 - 7x = -7x + 35

we add 7x from both sides

36 - 7x + 7x = - 7x + 7x + 35

36 = 35

we subtract 36 from both sides

36 - 36 = 35 - 36

0 = -1

This means that the system has no solution

if we look at the equation at the beginning we can realize since we have the same term on both sides "-7x" and a term without x on each side, this means that we can never find a value of x that meets the conditions

Write an equation in Slope-intercept form for the line that is perpendicular to the line y = 2x - 5 that passes through the given point (4,-2).

Answers

Answer:

y = (-1/2)x

Step-by-step explanation:

The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).

So all that's left to calculate is the offset b of a line

y = -1/2 x + b  

such that it passes through (4,-2). Filling in that point gives:

-2 = -1/2*4 + b

so b = 0!

y = -1/2x is the answer

Line perpendicular to  y = 2x - 5 is  y = (-1/2)x.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know perpendicular lines have slopes that are negative reciprocal of each other.

The given line y = 2x - 5, has a slope of 2.

So, the given line will have a slope of (-1/2) passing through point (4,-2).

∴ - 2 = (-1/2)(4) + b.

- 2 = - 2 + b.

b = 0.

∴ y = (-1/2)x is our required line.

learn more about lines and slopes here :

https://brainly.com/question/14511992

#SPJ2

-3/4 / (-8/5) write in simplest form

Answers

Answer:

Ans = 15/32

Step-by-step explanation:

-3/4 / (-8/5)

= -3/4 ÷ (-8/5)

= -3/4 * -5/8

= 15/32 (- * - = +)

HURRY!
The diagram represents two statements: p and q.

Which represents region B?


p ∨ q

p → q

q ∧ p

q → p

Answers

As you missed to add the diagram. After a little research, I was able to find the diagram, and hence, I am answering based on that diagram which anyways would clear your concepts. Diagram is also attached below.

Answer:

q ∧ p represents the region B.

Step-by-step explanation:

From the attached diagram, it is clear that

the region B includes the area which commonly lies both in p AND q at the same time. In other words, B displays the region in which both p AND q are true.

Here is the truth table

p          q          q ∧ p

T           T             T  

T            F            F

F            T            F

F            F            F

Therefore, q ∧ p represents the region B.

Keywords: truth table, AND operation

Learn more about truth table and orations from brainly.com/question/12674143

#learnwithBrainly

Answer:

q /\ p

Step-by-step explanation:

just took the test

Manu has 6 bags. He puts 6 pears in each bag. He has 5 pears left. How many pears did Manu start with?

Answers

Answer:

41

Step-by-step explanation:

6 pears ×6 bags +5 leftovers = You've started with 41 pears.

Answer:

180

Step-by-step explanation:

what you do is you want to do is 6x6=36 so you got your first answer then what you want to do next is 36x5=180 so 180 is your answer

Included angle between WA and AS

Answers

Answer:

I believe the answer is angle A.

Step-by-step explanation:

I think it is angle A because INCLUDED angle between WA AS and only angle a is included in both. Hope this helps.

Answer:

< A

Step-by-step explanation:

Solve the equation 0.5p-3.45=-1.2

Answers

Answer:

4.5

Step-by-step explanation:

The equation above is such that we find the value of p. Therefore, it is calculated thus:

0.5p - 3.45 = -1.2

Add 3.45 to both sides of the equation

0.5p - 3.45 + 3.45 = -1.2 + 3.45

0.5p = 2.25

Divide both sides by 0.5

0.5p/ 0.5 = 2.25/0.5

p = 4.5

Answer: The answer is 4.5

Step-by-step explanation:

0.5p - 3.45 = -1.2

So basically, you take everything on the left of the equal sign (0.5p-3.45) then since the sign is telling you to subtract, you use the inverse operation, so you would add 0.5 to the 3.45 and to the -1.2. So when you add the 0.5 to the 3.45, it cancels out, and when you add it to the -1.2, you should get 2.25. Then now that your done adding, your expression should be: 0.5p = 2.25. Then, now that you have 0.5p = 2.25, and there is no sign, multiplication is expected, but since were using the inverse operation, were dividing. So, 0.5p divided by 0.5 cancels out, and then you divide the 2.25 by 0.5 and you should get 4.5 after dividing. So, your final answer should be p = 4.5.

Hope this helps!!  

The safe load for a certain horizontal beam used to hold up part of a building varies inversely as the length between the
supports.
True
False

Answers

The statement is true.

Answer: Option 1.

Explanation:

An horizontal beam is constantly flat and has a consistent cross-segment. Notwithstanding normal shaft parameters, bar has the accompanying properties: Direction. A flat shaft might be situated either along the worldwide X-hub or worldwide Y-pivot.

A horizontal beam is used to hold a building up right and to give the support to the building. But the length of the horizontal beam differs in an inverse way between the supports.

Factor completely. x2−2x−24 Enter your answer in the box.

Answers

Answer:

x = -4

x = 6

Step-by-step explanation:

x² - 2x -24 = 0

x² - 6x + 4x - 24 = 0

x ( x - 6 ) + 4 ( x - 6) = 0

x + 4 and x- 6

so either of them is zero so values if x are

X = -4

X = 6

The Answer is (x+4) (x-6). I just took the test

which of the following phrases would represent this expression x/3

Answers

Answer:

x is divided by 3

Step-by-step explanation:

Noah says to find 20% of a number he divides the number by 5. Does Noah method always work?

Answers

Answer:

Yes because 20 percent of anything, including 0, multiplied by 5 is 100 percent

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

it does work because 5x4= 20 and if you divide 20% by 5 you get 4. You can also do 20% Divided by 2 you get 100.

A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working.
Got 2/4 marks for 14/55

Answers

Answer:

28/55

Step-by-step explanation:

The probability of taking a red bead first and a white bead second is:

P(red, white) = (7/11) (4/10)

P(red, white) = 14/55

The probability of taking a white bead first and a red bead second is:

P(white, red) = (4/11) (7/10)

P(white, red) = 14/55

So the probability that one bead of each color is taken is:

P = P(red, white) or P(white, red)

P = 14/55 + 14/55

P = 28/55

Answer:

56/110=14/55

Step-by-step explanation:

you get 4 marks!

put me as brainiest please!

3x squared minus 7x minus 34 is less than or equal to -10x + 2

Answers

Answer:

x =-2 or 0

Step-by-step explanation:

Factoring  7x2+3x-34

The first term is,  7x2  its coefficient is  7 .

The middle term is,  +3x  its coefficient is  3 .

The last term, "the constant", is  -34

Step-1 : Multiply the coefficient of the first term by the constant   7 • -34 = -238

Step-2 : Find two factors of  -238  whose sum equals the coefficient of the middle term, which is   3 .

     -238    +    1    =    -237

     -119    +    2    =    -117

     -34    +    7    =    -27

     -17    +    14    =    -3

     -14    +    17    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  17

                    7x2 - 14x + 17x - 34

Step-4 : Add up the first 2 terms, pulling out like factors :

                   7x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                   17 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (7x+17)  •  (x-2)

            Which is the desired factorization

 (x - 2) • (7x + 17)  = 0

Which expression is not equivalent to cos 150°
A) sin 240 degrees
B) cos 210 degrees
C)cos 60 degrees
D) -sin 60 degrees

Answers

Answer:

cos 60° isn't equivalent

Step-by-step explanation:

cos 60°=1/2

The expression that is not equivalent to cos 150° is option C, cos 60 degrees, because it lies in the first quadrant where cosine is positive, unlike cos 150° which is negative.

The expression that is not equivalent to cos 150° is C) cos 60 degrees. The cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants. Since 150° lies in the second quadrant, cos 150° is negative. Now, if we look at the provided options, sin 240° is essentially -sin(240° - 180°), which equals -sin 60°; this is the same as cos(180° - 240°), which equals cos(330°) or cos(−30°), and therefore, equivalent to cos 150°.

Similarly, cos 210° is also in the third quadrant where cosine is negative; this is the same as -cos(210° - 180°), which equals -cos 30° which also equals -sin 60°. Therefore, this is equivalent to cos 150° as well. In contrast, cos 60° lies in the first quadrant where cosine is positive, which does not match the sign of cos 150°. Lastly, -sin 60° is simply the negative of sin 60° and since sin 60° = cos 30°, it matches the value of cos 150° in terms of magnitude but is opposite in sign, thus it is equivalent to cos 150°.

Therefore, option C, cos 60 degrees, is not equivalent to cos 150°.

An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1/4 inch will represent 1 foot of the room’s actual width. What will be the width of the Great Room, in inches, on her floor plan?

Answers

Answer:

5 inches

Step-by-step explanation:

we know that

The scale drawing is

[tex]\frac{1}{4}\ in : 1\ ft[/tex]

using proportion find out the width of the great room on her plan

[tex]\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{20}\ \frac{in}{ft}\\\\x=20(1/4)\\\\x=5\ in[/tex]

Answer:

5 inches

Step-by-step explanation:

Hope this helped!!

Do you guys now how to estimate 69.58.

Answers

Answer:

The answer is 70 if it's to whole number but if it's just rounding to the tenth spot it's 69.6

Step-by-step explanation:

It's 70 because if the tenth spot(the number after the decimal) is 5 or higher you add one on the one spot so that's why it's 70

Estimates are typically whole numbers.

To estimate an answer, you would take whatever numbers you are trying to add/subtract/multiply/divide ect. and round them to the nearest whole number then complete said action with them.  

Example: 3.99 + 33.85 + 31.74

3.99 is closest to 4

33.85 is closest to 34

and 31.74 is closest to 32

Then, we would add up all the numbers: 4 + 34 + 32 = 70

70 is very close to 69.58, therefore 70 is a good estimate.

Our car has a 15-gallon gas tank. A lower grade of gasoline costs $2.96 per gallon. The premium grade gasoline costs
$3.15 per gallon. There are three gallons left in your gas tank. What is the difference in the cost of filling your tank between the two grades
of gasoline?
a) $2.05
b) 52.28
c) $35.52
d) $44.40

Answers

Answer:

The correct option is b.) $2.28

Step-by-step explanation:

i) the gas tank is of 15 gallons

ii) there are three gallons left in the gas tank

iii) therefore the tank has to be filled with 15 - 3 = 12 gallons

iv) lower grade of gasoline costs $2.96 per gallon

v) the upper grade of gasoline costs $3.15 per gallon

vi) the cost of filling the tank with the lower grade gasoline

   = 12 [tex]\times[/tex] 2.96 = $35.52.

vii) the cost of filling the tank with the lower grade gasoline

    = 12 [tex]\times[/tex] 3.15 = $37.80

viii) therefore  the difference in the cost of filling your tank between the two grades

  = $37.80 - $35.52 = $2.28

Therefore the correct option is b.) $2.28

Final answer:

The difference in the cost of filling the 15-gallon gas tank between the two grades of gasoline is $2.28.

Explanation:

Firstly, let's calculate how many gallons are needed to fill the car's tank completely, since it currently has 3 gallons left in a 15-gallon tank. This means the car requires 15 - 3 = 12 gallons of gasoline to be filled up.

Next, we calculate the cost to fill up the car with the lower grade gasoline that costs $2.96 per gallon. The cost for 12 gallons would be 12 x $2.96 = $35.52.

Then, we calculate the cost to fill up the car with the premium gasoline that costs $3.15 per gallon. The cost for 12 gallons would be 12 x $3.15 = $37.80.

Finally, to find the difference in cost between the two grades of gasoline, we subtract the lower cost from the higher cost: $37.80 - $35.52 = $2.28. Hence, the difference in cost is $2.28, so the correct answer is option (b).

Other Questions
A. are buried in the interior of the helix B. provide the hydrogen bonds that form the helix C. are typically polar D. extend outward from the helix spiral E. are located in an alternating arrangement between the inside and the outside of the helix Write a brief essay analyzing how Shakespeare uses characters' remarks about the setting to help establish not only the settingbut also the atmosphere or mood of The Tragedy of Macbeth, Act II. Be sure to support your ideas with several specificexamples of dialogue. Riley has 3 5/9 gallons of fuel left in his car. He uses 7/16 of the fuel to drive to the bank. Then, he uses 2/5 of the remaining fuel to drive to the comic book store. How many gallons of fuel does Riley have left after driving to the bank and the comic book store? equationslope (m) =y-intercept =_4 Select the correct answer.In the diagram, AGEF and AHEF are congruent. What is the value of X? PLEASE HELP I NEEED ANSWER.. ASAP A man can swim at 4 ft / s in still water. He wishes to cross the 40-ft-wide river to point B, 30 ft downstream. The river flows with a velocity of 2 ft / s. Note: While in the water he must not direct himself toward point B to reach this point. The sum of two numbers is 21,and their difference is 9 Ben bowled 133 and 206 in his first two games. What must he bowl in his third game to have an average of at least 170? A bicycle wheel travels 26 in. for each revolution. What is the radius of the wheel? 4.Nat had some stamps. He divided them into setsof six to put in his album. He made 17 sets. Howmany stamps did Nat have? Question 1 with 1 blankyo Question 2 with 1 blankusted Question 3 with 1 blanknosotros Question 4 with 1 blankellas 2 Emparejar Choose the correct answer for each question. Three of the answers will not be used. Adnde fuiste anoche? Quines ms fueron? Fue Carlos tambin? Cmo fue la comida (food)? Adnde fueron despus de comer? Fue divertido (entertaining)? 3 Oraciones Write sentences using the information provided. Use the preterite and make any necessary changes. Modelo adnde / ir / (usted) / vacaciones? Adnde fue usted de vacaciones? Question 1 with 1 blankanteayer / Danilo / ir / playa Question 2 with 1 blankcmo / ser / tus vacaciones / Per? Question 3 with 1 blankyo / ser / presidente / club de ciencias Question 4 with 1 blankustedes / no ir / clase / el viernes pasado 4 Transformar Rewrite the sentences using the preterite. Question 1 with 1 blankUsted es muy inteligente. Question 2 with 1 blankMario y yo vamos al cine. Question 3 with 1 blankVas a trabajar? Question 4 with 1 blankSomos estudiantes de la escuela secundaria. Question 5 with 1 blankCmo son las pelculas de terror? Question 6 with 1 blankVoy al parque para jugar al tenis. Select reference tools. DICTIONARY VOCABULARY TOOLS ALL CAPS For technical support click support.vhlcentral, or submit help request Reynaldo Is making a model of a school building. the actual building is 28 feet tall and 128 feet long. if the model is 16 inches long, how tall should the model be? What is 4 raised to the power of 2 2 raised to the power of 3 what kind of problems will we face if our body had no muscles Dr. Lin and Dr. Marino both study obesity. Dr. Lin relates the likelihood of obesity to levels of the trait of neuroticismthe tendency to experience upsetting emotions. Dr. Marino relates obesity to the frequency with which individuals eat alone, with family members, or in the presence of larger groups of friends, acquaintances, or strangers. Which of the following statements is most likely true regarding the subfields in which the researchers specialize? A) Marino is a social psychologist.B) Lin is a social psychologist.C) Marino is a personality psychologist.D) Lin is a behavioral psychologist. 14. Which of the following is an example of changing acceleration?a. A car stopped at a red light.b. A boat sailing west at 5 knots.c. A train traveling 65 miles per hour south.d. A man jogging 3 meters/second along a winding path. How long does it take minerals to form How would you solve 936=78p? If short is recessive to tall, provide the symbol representation and the phenotype for each of the genotype for this trait.